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Wave Propagation in Compliant Tubes Containing a Heat-Conducting Viscous Fluid

机译:含导热粘性流体的柔顺管中的波传播

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Wave propagation in an initially stressed, viscoelastic circular cylindrical orthotropic tube, surrounded by external materials and filled with a linear elastic heat conducting fluid is studied. General thermoacoustic boundary conditions are considered. The theorem of splitting is generalized showing that an infinitesimal disturbance field can always be split into three modes which interact with each other only through the boundary conditions. The consequences of the Newtonian constitution and the continuum theory are demonstrated. A fundamental error is noted in the Kirchhoff (1868) theory. Approximations of the dispersion equation are discussed and generalizations of the low-frequency expansion solution are given. The transfer matrix and the impedances of a fluid line are shown.

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